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Finding the Third Proportional to 398,212 and 866,407

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Solution

The third proportional to 398,212 and 866,407 is: 1,885,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,212 : 866,407 = 866,407 : x
  2. Step 2: Convert to fraction form
    398,212/866,407 = 866,407/x
  3. Step 3: Cross multiply
    398,212x = 866,407 × 866,407
  4. Step 4: Simplify right side
    398,212x = 750,661,089,649
  5. Step 5: Solve for x
    x = 750,661,089,649/398,212
  6. Step 6: Final answer
    x = 1,885,079.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.